Results 11 to 20 of about 625,582 (261)

Polynomial Time Corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length [PDF]

Journal of the ACM, 2017
The outcomes of this article are twofold. Implicit complexity. We provide an implicit characterization of polynomial time computation in terms of ordinary differential equations: we characterize the class P of languages computable in polynomial time in terms of differential equations with polynomial right-hand side ...
Bournez, Olivier, Graça, Daniel, Pouly, Amaury   +2 more
openaire   +4 more sources

The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials

JTAM (Jurnal Teori dan Aplikasi Matematika), 2021
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi, Bonno Andri Wibowo, Vina Apriliani, Rofiqul Umam   +3 more
doaj   +1 more source

Cubic splines solutions of the higher order boundary value problems arise in sandwich panel theory

Results in Physics, 2022
An inventive strategy is bestowed here to acquire the numeral roots of nonlinear boundary value problems(BVPs) of 14th-order utilizing cubic splines. Two cubic splines; Polynomial and non-polynomial, are exploited to find out the solutions of nonlinear ...
Aasma Khalid, A.S.A. Alsubaie, Mustafa Inc, Akmal Rehan, W. Mahmoud, M.S. Osman   +5 more
doaj   +1 more source

The Polynomial Solutions of Quadratic Diophantine Equation X2−ptY2+2KtX+2ptLtY = 0

Journal of Mathematics, 2021
In this study, we consider the number of polynomial solutions of the Pell equation x2−pty2=2 is formulated for a nonsquare polynomial pt using the polynomial solutions of the Pell equation x2−pty2=1.
Hasan Sankari, Ahmad Abdo
doaj   +1 more source

The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model

Mathematics, 2022
This work proposes and investigates the existence and uniqueness of solutions of Riccati Fractional Differential Equation (RFDE) with constant coefficients using Banach’s fixed point theorem.
Muhamad Deni Johansyah, Asep Kuswandi Supriatna, Endang Rusyaman, Jumadil Saputra   +3 more
doaj   +1 more source

A large-scale layered stationary convection of a incompressible viscous fluid under the action of shear stresses at the upper boundary. Temperature and presure field investigation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In this paper a new exact solution of an overdetermined system of Oberbeck-Boussinesq equations that describes a stationary shear flow of a viscous incompressible fluid in an infinite layer is under study.
Natalya V Burmasheva, Evgeny Yu Prosviryakov   +1 more
doaj   +1 more source

INVESTIGATION OF THE KOLMOGOROV-WIENER FILTER FOR CONTINUOUS FRACTAL PROCESSES ON THE BASIS OF THE CHEBYSHEV POLYNOMIALS OF THE FIRST KIND

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020
This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev, Alexander Gusev, Valerii Korniienko   +2 more
doaj   +1 more source

On the Polynomial Solution of Divided-Difference Equations of the Hypergeometric Type on Nonuniform Lattices

Axioms, 2019
In this paper, we provide a formal proof of the existence of a polynomial solution of fixed degree for a second-order divided-difference equation of the hypergeometric type on non-uniform lattices, generalizing therefore previous work proving existence ...
Mama Foupouagnigni, Salifou Mboutngam
doaj   +1 more source

Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity

Entropy, 2021
We discuss the application of the Simple Equations Method (SEsM) for obtaining exact solutions of non-linear differential equations to several cases of equations containing non-polynomial non-linearity. The main idea of the study is to use an appropriate
Nikolay K. Vitanov, Zlatinka I. Dimitrova   +1 more
doaj   +1 more source

Model matching problem for discrete-time nonlinear systems; pp. 457–472 [PDF]

Proceedings of the Estonian Academy of Sciences, 2015
This paper addresses the model matching problem (MMP) for nonlinear single-input single-output discrete-time systems. The approach is based on the infinitesimal system description in terms of the one-forms that is converted into polynomial system ...
Juri Belikov, Miroslav Halás, Ülle Kotta, Claude H. Moog   +3 more
doaj   +1 more source